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Finding the Fourth Proportional to 3,429.44, 4,732.63 and 1,857.53

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Solution

The fourth proportional to 3,429.44, 4,732.63 and 1,857.53 is: 2,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.44 : 4,732.63 = 1,857.53 : x
  2. Step 2: Convert to fraction form
    3,429.44/4,732.63 = 1,857.53/x
  3. Step 3: Cross multiply
    3,429.44x = 4,732.63 × 1,857.53
  4. Step 4: Simplify right side
    3,429.44x = 8,791,009.39
  5. Step 5: Solve for x
    x = 8,791,009.39/3,429.44
  6. Step 6: Final answer
    x = 2,563.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.